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Sorting Arrays in Java Using Bubble Sort Technique



Bubble Sort in Java: A Simple and Efficient Sorting Algorithm




If you are looking for a simple and efficient way to sort an array of elements in Java, you might want to consider bubble sort. Bubble sort is one of the most straightforward sorting algorithms that works by repeatedly swapping the adjacent elements if they are in the wrong order until the array is sorted.




bubble sort java



What is Bubble Sort?




Bubble sort is a comparison-based sorting algorithm that compares each pair of adjacent elements in an array and swaps them if they are in the wrong order. The algorithm repeats this process until no more swaps are needed, which means that the array is sorted.


How does it work?




To understand how bubble sort works, let's take an example of an array of integers that we want to sort in ascending order:


int[] arr = 4, 2, 1, 6, 3, 5;


We start by comparing the first two elements, 4 and 2. Since 4 is greater than 2, we swap them:


int[] arr = 2, 4, 1, 6, 3, 5;


Then we compare the next pair of elements, 4 and 1. Again, we swap them since 4 is greater than 1:


int[] arr = 2, 1, 4, 6, 3, 5;


We keep doing this for the rest of the elements until we reach the end of the array:


int[] arr = 2, 1, 4, 6, 3, 5; int[] arr = 2, 1, 4, 3, 6, 5; int[] arr = 2, 1, 4, 3, 5, 6;


At this point, we have completed one iteration of the algorithm. We can see that the last element, 6, is now in its correct position. We can also see that the array is not fully sorted yet. Therefore, we need to repeat the same process for the remaining elements, excluding the last one.


In general, for an array of size n, we need to perform n-1 iterations of the algorithm. In each iteration, we compare and swap each pair of adjacent elements until we reach the end of the unsorted part of the array. As a result, after each iteration, one more element will be in its correct position at the end of the array.


The following table shows how the array changes after each iteration:


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IterationArray


0 (initial)4, 2, 1, 6, 3, 5


12, 1, 4, 3, 5, 6


style="color:red">3, 4, 5, 6}


31, 2, 3, 4, 5, 6


41, 2, 3, 4, 5, 6


5 (final)1, 2, 3, 4, 5, 6


What are the advantages and disadvantages of bubble sort?




Bubble sort has some advantages and disadvantages that you should be aware of before using it. Here are some of them:


Advantages:



  • Bubble sort is easy to understand and implement.



  • Bubble sort does not require any extra space, as it sorts the array in place.



  • Bubble sort is stable, which means that it preserves the relative order of equal elements.




Disadvantages:



  • Bubble sort is inefficient, as it performs many unnecessary comparisons and swaps.



  • Bubble sort has a high time complexity, which makes it slow for large arrays.



  • Bubble sort is not adaptive, which means that it does not take advantage of the existing order in the array.




How to implement Bubble Sort in Java?




Now that you know what bubble sort is and how it works, let's see how to implement it in Java. There are two versions of bubble sort that you can use: the basic algorithm and the optimized algorithm.


The basic algorithm




The basic algorithm of bubble sort is the one that we have described above. It consists of two nested loops: an outer loop that runs for n-1 iterations, and an inner loop that compares and swaps each pair of adjacent elements until the end of the unsorted part of the array. The pseudocode of the basic algorithm is as follows:


for i from 0 to n-2 for j from 0 to n-i-2 if arr[j] > arr[j+1] swap arr[j] and arr[j+1] end if end for end for


The optimized algorithm




The optimized algorithm of bubble sort is a slight modification of the basic algorithm that improves its performance. It introduces a flag variable that keeps track of whether any swap occurred in the inner loop. If no swap occurred, it means that the array is already sorted and there is no need to continue the outer loop. The pseudocode of the optimized algorithm is as follows:


flag = true for i from 0 to n-2 if flag == false break end if flag = false for j from 0 to n-i-2 if arr[j] > arr[j+1] swap arr[j] and arr[j+1] flag = true end if end for end for


The Java code example




Here is an example of how to implement both versions of bubble sort in Java. We use a helper method called swap to exchange the values of two elements in an array. We also use a helper method called printArray to display the contents of an array.


// A helper method to swap two elements in an array public static void swap(int[] arr, int i, int j) int temp = arr[i]; arr[j] = temp; // A helper method to print an array public static void printArray(int[] arr) for (int num : arr) System.out.print(num + " "); System.out.println(); // The basic bubble sort algorithm public static void bubbleSortBasic(int[] arr) int n = arr.length; for (int i = 0; i arr[j + 1]) swap(arr, j, j + 1); // The optimized bubble sort algorithm public static void bubbleSortOptimized(int[] arr) int n = arr.length; boolean flag = true; for (int i = 0; i arr[j + 1]) swap(arr, j, j + 1); flag = true; // A test case public static void main(String[] args) int[] arr = 4, 2, 1, 6, 3, 5; System.out.println("The original array is:"); printArray(arr); System.out.println("The sorted array using basic bubble sort is:"); bubbleSortBasic(arr); printArray(arr); System.out.println("The sorted array using optimized bubble sort is:"); bubbleSortOptimized(arr); printArray(arr);


How to test and analyze Bubble Sort in Java?




After implementing bubble sort in Java, you might want to test and analyze its performance and behavior. Here are some aspects that you can consider:


The test case




To test your bubble sort implementation, you can use different types of arrays as input, such as:


  • An empty array



  • An array with one element



  • An array with two elements



  • An array that is already sorted



  • An array that is sorted in reverse order



  • An array that has duplicate elements



  • An array that has random elements



For each type of array, you can check if the output is correct and matches the expected result. You can also print the number of comparisons and swaps that the algorithm performs to see how it varies depending on the input.


The time and space complexity




The time complexity of an algorithm is a measure of how fast it runs as a function of the input size. The space complexity of an algorithm is a measure of how much memory it uses as a function of the input size.


The time complexity of bubble sort is O(n^2), where n is the size of the array. This means that the algorithm performs n^2 comparisons and swaps in the worst case. The space complexity of bubble sort is O(1), which means that the algorithm does not use any extra space besides the input array.


The best, average, and worst case scenarios




The best case scenario for bubble sort is when the array is already sorted. In this case, the algorithm only needs to perform one iteration and no swaps. The time complexity in this case is O(n), which is linear.


The average case scenario for bubble sort is when the array has random elements. In this case, the algorithm needs to perform about n/2 iterations and n^2/4 swaps. The time complexity in this case is still O(n^2), which is quadratic.


The worst case scenario for bubble sort is when the array is sorted in reverse order. In this case, the algorithm needs to perform n-1 iterations and n(n-1)/2 swaps. The time complexity in this case is also O(n^2), which is quadratic.


Conclusion




In this article, we have learned about bubble sort in Java. We have seen what it is, how it works, what are its advantages and disadvantages, how to implement it in Java, and how to test and analyze it. We have also seen that bubble sort is a simple and efficient sorting algorithm for small arrays, but it becomes slow and inefficient for large arrays. Therefore, you should use it with caution and consider other sorting algorithms that have better performance.


FAQs




  • Q: Is bubble sort a stable sorting algorithm?



  • A: Yes, bubble sort is a stable sorting algorithm, which means that it preserves the relative order of equal elements in the array.



  • Q: Is bubble sort an adaptive sorting algorithm?



  • A: No, bubble sort is not an adaptive sorting algorithm, which means that it does not take advantage of the existing order in the array. However, the optimized version of bubble sort can stop early if no swap occurred in the inner loop, which makes it slightly adaptive.



  • Q: How can we improve the performance of bubble sort?



  • A: There are some ways to improve the performance of bubble sort, such as:




  • Using the optimized version of bubble sort that breaks the outer loop if no swap occurred in the inner loop.



  • Using a bidirectional bubble sort (also known as cocktail shaker sort) that alternates between bubbling up and bubbling down in each iteration.



  • Using a comb sort that uses a variable gap size instead of 1 to compare and swap elements.




  • Q: What are some applications of bubble sort?



  • A: Bubble sort is mainly used for educational purposes, as it is easy to understand and implement. However, it can also be used for some practical applications, such as:




  • Sorting small arrays that are nearly sorted or have few inversions.



  • Sorting arrays that have duplicate elements, as bubble sort is stable and preserves their order.



  • Sorting linked lists, as bubble sort only requires swapping the pointers and not the data.




  • Q: What are some alternatives to bubble sort?



  • A: There are many other sorting algorithms that have better performance and efficiency than bubble sort, such as:




  • Selection sort, which finds the minimum or maximum element in each iteration and places it at its correct position.



  • Insertion sort, which inserts each element into its correct position in a sorted part of the array.



  • Merge sort, which divides the array into two halves, sorts them recursively, and merges them back together.



  • Quick sort, which partitions the array around a pivot element, sorts the two subarrays recursively, and combines them back together.



  • Heap sort, which builds a heap data structure from the array and extracts the maximum or minimum element in each iteration.




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